Maths Exam

1. Simplify 1

Simplify the following expression: $$ \left(-1 + -3 - \left(-2 + 1\right)\right)2(-4)(-5) $$
Correct Answer
$$ -120$$ or -120.000

2. Simplify 2

Simplify the following expression: $$ \frac{{2}^{1} + 6 - 6}{2(-2)(-3)} $$
Correct Answer
$$ \frac{1}{6}$$ or 0.166667

3. Fractions 1

Simplify the following expression: $$ \frac{2}{6} - \frac{-2}{3} $$
Correct Answer
$$ 1$$ or 1.0

4. Fractions 2

Simplify the following expression: $$ \frac{2}{3}\frac{-1}{2} $$
Correct Answer
$$ \frac{-1}{3}$$ or -0.3333333333333333

5. Significant figures

1. Write the following to 3 significant figures: 0.023575422
Correct Answer
0.0236 or $$2.36\times10^{-2}$$
2. Write the following to 5 significant figures: 0.41500620
Correct Answer
0.41501 or $$4.1501\times10^{-1}$$

6. Standard Form

1. Write the following in standard form to 3 significant digits: 3.20551
Correct Answer
$$3.21\times10^{0}$$
2. Write the following in standard form to 2 significant digits: 0.0000000992535
Correct Answer
$$9.9\times10^{-8}$$

7. Significant figures

1. Write the following in preferred standard form to 5 significant digits: 0.004564804
Correct Answer
$$4.5648\times10^{-3}$$
2. Write the following in preferred standard form to 4 significant digits: 193454
Correct Answer
$$193.5\times10^{3}$$

8. Simplify 2

Simplify the following expression: $$ {\left(-2 - 6\right)}^{2} - {\left(4 - 3\right)}^{\left(-5 + 3\right)} $$
Correct Answer
$$ 63$$ or 63.0000

9. Simplify 1

Simplify the following expression: $$ \left(-5 + 3\right)\left(2 + 6\right) + {\left(-4 - 2\right)}^{2} $$
Correct Answer
$$ 20$$ or 20.0000

10. Simplify 2

Simplify the following expression: $$ \frac{{\left(4 - -3\right)}^{2}}{-1 - 2 + \frac{1}{-3}} $$
Correct Answer
$$ \frac{-147}{10}$$ or -14.7000


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